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Summary: A Neural Network Approach to the
Consistent Labeling Problem
Jiansheng Feng \Lambda Wenjing Tao Hans Burkhardt
Technische Informatik I
Technische Universit¨at HamburgHarburg
2100 Hamburg 90, Germany
Abstract--- This paper presents a method to
solve the consistent labeling problem, especially
the highorder constraint case, by the Hopfield
network. A agitating method is also proposed to
tackle the problem of local minima. Some experi
ments concerning line drawing labeling are demon
strated.
I. Introduction
The consistent labeling problem (CLP) proposed by
Haralick and Shapiro [1] and Ullmann [2] concerns a gen
eral technique for solving a class of problems in artificial
intelligence, such as subgraph isomorphism and homomor
phism [3], [4], graph coloring [4], schooltimetabling [2],
theorem proving [1], puzzle solving [1], [2], scene labeling
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